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Home » Pistachio Salad Hacks: Ultimate Flavor Boost You’ve Been Searching For (With Pictures!) - ClickBalance

Pistachio Salad Hacks: Ultimate Flavor Boost You’ve Been Searching For (With Pictures!) - ClickBalance

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Solution: We are to count the number of distinct sequences in which 5 identical fern spores, 4 identical moss spores, and 3 identical lichen fragments can be arranged over 12 days, one per day. Since items within each category are indistinguishable, this is a multinomial coefficient problem. The total number of distinct arrangements is given by:

📌 Question: A home-schooled student writes a program that generates strings using 3 x characters, 2 y characters, and 4 z characters, one character per line for 9 lines. How many distinct character sequences can the program produce if identical characters within each type are indistinguishable?

📌 Solution: We are to count the number of distinct permutations of 9 characters where there are 3 identical xs, 2 identical ys, and 4 identical zs. The number of distinct sequences is given by the multinomial coefficient:

📌 $ 3! = 6 $, $ 2! = 2 $, $ 4! = 24 $,

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